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Free_Kalibri [48]
3 years ago
7

Complete the point-slope equation of the line through (8,-8) and (9,8)

Mathematics
1 answer:
siniylev [52]3 years ago
4 0
I think the slope (m) should be 16.
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How to solve 1/4-x=x/8
Contact [7]

Answer:

x=\frac{2}{9}

Step-by-step explanation:

\frac{1}{4}-x=\frac{x}{8}

  • With the equation's current format, we will have trouble solving with all these fractions. Especially the fraction \frac{x}{8} is very difficult to deal with, so my first step would be:

(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})

  • If we multiply both sides by this number, we will be able to get rid of the messy fraction on the right side as well as remove the fraction on the left side. Like so:
  • <em>I put the 8 I multiplied onto each side in fraction form simply for clarity. You do not need to do this.</em>

(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})\\\frac{8}{4}-8x=\frac{8x}{8}\\2-8x=x

  • After this point, let's put our variable, x, onto one side of this equation and any other integers on the other by adding and subtracting them from both sides.

2-8x=x\\-9x=-2

  • Now we divide so that x is isolated, and we are done.

x=\frac{-2}{-9}=\frac{2}{9}

 

6 0
3 years ago
Solve the following equations | 3x + 3/7 | = 2 1/3
jasenka [17]

Answer:

X∈\frac{5}{63}, -\frac{23}{63}

Step-by-step explanation:

7 0
3 years ago
I need to find the answer in math for2×2/3 what does it equal
Nataly_w [17]
Here u go the answer is 4/3
6 0
3 years ago
I don't know how to do this math problem-
kifflom [539]

Answer:

cool thats nice

Step-by-step explanation:

8 0
3 years ago
To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
3 years ago
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